Combinatorial Algebraic Topology and Applications II
timetable:
Thu 3 Oct, 12:00 - 12:35, Aula Dini
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A combinatorial definition of the string topology product
speaker: Samson (CONTRIBUTED TALK) Saneblidzeabstract:
We introduce a commutative product of degree −n on the homology H∗(X) of an n-dimensional special cubical set X and lift it on the free loop homology H∗(ΛM) for M =
X
to be the geometric realization. These products agree with the intersection and string topology products respectively when M is an oriented closed manifold. Using the explicit diagonal of permutahedra for the standard coproduct on H∗(ΛM) we establish the compatibility relation with the string topology product. This is a joint work with Manuel Rivera.
timetable:
Thu 3 Oct, 12:00 - 12:35, Aula Dini
documents:
abstract
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